http://arxiv.org/abs/2002.12772
In this article we find a four-dimensional metric for a large black hole immersed in dark matter. Specifically, we look for and find a static spherically symmetric black hole solution to the Einstein equations which gives, in the Newtonian limit, the rotation curves of galaxies, including the flat region and the Baryonic Tully-Fisher relation, and which has a regular horizon. We obtain as well the energy-momentum tensor of the dark matter sourcing this space-time and it turns, in special, to have a positive mass-energy density everywhere outside the horizon. This black-hole-dark-matter system represents a successful simplified model for galaxies and a new area for exploring the relativistic regime of dark matter.
F. Haddad and N. Haddad
Mon, 2 Mar 20
20/62
Comments: 16 pages, 4 figures